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SAT Subject Test Level 2 #3
Question 1: If the value of tan(-2a) is 2, what is the value of tan(2a)?
-2
2
-4
4
3
Question #2: What is sec(a)sin(a) + csc(a)cos(a) , if a = 45
^{o}
?
2
1
1/2
-1/2
¶/2
Question #3: What is sin
^{2}
(a)·cos
^{2}
(a)·[1 + tan
^{2}
(a)]?
tan
^{2}
(a)
cos
^{2}
(a)
sin
^{2}
(a)
sec
^{2}
(a)
csc
^{2}
(a)
Question #4: What are the polar coordinates of the point with (-5, 5) rectangular coordinates?
(5√2, 45
^{o}
)
(5, 45
^{o}
)
(5, 135
^{o}
)
(5√2, 135
^{o}
)
(-5, 135
^{o}
)
Question #5: What is the volume of the geometric solid produced by the equilateral triangle in the figure below when it is rotated 360
^{o}
about the altitude
m
?
¶m
^{3}
/9
¶m
^{2}
/9
¶m
^{3}
/4
¶m
^{3}
m
^{3}
/9
Question #6: Solve for x in the following equation: x
^{2}
– 10x + 10 = 0.
-5 +/- sqrt(15)
5 +/- sqrt(15)
5
-5
5 +/- sqrt(5)
Question #7: If log(x) = 2 and log(y) = 5, what is log(x
^{2}
y
^{3}
)?
11
15
17
19
29
Question #8: What is the greatest common factor of 17 and 81?
1
17
3
9
27
Question #9: In the (x,y) plane, which of the following statements are true?
I. Line y + x = 5 is perpendicular to line y - x = 5.
II. Lines y + x = 5 and y - x = 5 intersect each other on the y axis.
III. Lines y + x = 5 and y - x = 5 intersect each other on the x axis.
I is the only true statement
II is the only true statement
I and II are both true
I and III are both true
II and III are both true
Question #10: Find the domain of the function f(x) = √( -x) / [(x - 2)(x + 2)]:
(-∞ , -2) U ( -2 , 0)
(-∞ , -2) U ( -2 , 0]
(-∞ , 2) U ( 2 , 0]
(-∞ , 2) U ( 2 , 0)
(-∞ , -2) U ( -2 , 2)